Vanishing and injectivity theorems for Hodge modules
Algebraic Geometry
2015-05-08 v2
Abstract
We prove a surjectivity theorem for the Deligne canonical extension of a polarizable variation of Hodge structure with quasi-unipotent monodromy at infinity along the lines of Esnault-Viehweg. We deduce from it several injectivity theorems and vanishing theorems for pure Hodge modules. We also give an inductive proof of Kawamata-Viehweg vanishing for the lowest graded piece of the Hodge filtration of a pure Hodge module using mixed Hodge modules of nearby cycles.
Cite
@article{arxiv.1505.00881,
title = {Vanishing and injectivity theorems for Hodge modules},
author = {Lei Wu},
journal= {arXiv preprint arXiv:1505.00881},
year = {2015}
}